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We present an extension of the functional renormalization group to Floquet space, which enables us to treat the long time behavior of interacting time periodically driven quantum dots. It is one of its strength that the method is neither…

Strongly Correlated Electrons · Physics 2016-12-21 Anna Katharina Eissing , Volker Meden , Dante Marvin Kennes

We study a generic spin-fermion model, where a two-level system (spin) is coupled to two metallic leads with different chemical potentials, in the presence of monochromatic driving fields. The real-time dynamics of the system is simulated…

Mesoscale and Nanoscale Physics · Physics 2019-11-22 Ruofan Chen , Xiansong Xu

Periodic driving is used to steer physical systems to unique stationary states or nonequilibrium steady states (NESS), producing enhanced properties inaccessible to non-driven systems. For open quantum systems, characterizing the NESS is…

Quantum Physics · Physics 2026-01-13 Milan Šindelka , David Gelbwaser-Klimovsky

Time evolution of the expectation values of various dynamical operators of the harmonic oscillator with dissipation is analitically obtained within the framework of the Lindblad's theory for open quantum systems. We deduce the density…

High Energy Physics - Theory · Physics 2007-05-23 Aurelian Isar

We construct a dynamical decoupling protocol for accurately generating local and global symmetries in general many-body systems. Multiple commuting and non-commuting symmetries can be created by means of a self-similar-in-time…

Statistical Mechanics · Physics 2020-09-29 Kartiek Agarwal , Ivar Martin

We develop the Floquet-Magnus expansion for a classical equation of motion under a periodic drive that is applicable to both isolated and open systems. For classical systems, known approaches based on the Floquet theorem fail due to the…

Strongly Correlated Electrons · Physics 2018-11-13 Sho Higashikawa , Hiroyuki Fujita , Masahiro Sato

It is proved that the energy absorption in a periodically driven classical spin system is exponentially slow in frequency, which results in a two-step relaxation called the Floquet prethermalization. This result is shown by establishing the…

Statistical Mechanics · Physics 2018-09-19 Takashi Mori

A procedure to find optimal regimes for quantum thermal engines (QTMs) is described and demonstrated. The QTMs are modelled as the periodically-driven non-equilibrium steady states of open quantum systems, whose dynamics is approximated in…

Quantum Physics · Physics 2024-10-10 Alberto Castro

We propose a Langevin equation to describe the quantum Brownian motion of bounded particles based on a distinctive formulation concerning both the fluctuation and dissipation forces. The fluctuation force is similar to that employed in the…

Statistical Mechanics · Physics 2020-04-22 Mário J. de Oliveira

Time-periodic (Floquet) driving is a powerful way to control the dynamics of complex systems, which can be used to induce a plethora of new physical phenomena. However, when applied to many-body systems, Floquet driving can also cause…

Statistical Mechanics · Physics 2023-05-30 Wen Wei Ho , Takashi Mori , Dmitry A. Abanin , Emanuele G. Dalla Torre

Properties of time-periodic Hamiltonians can be exploited to increase the dephasing time of qubits and to design protected one and two-qubit gates. Recently, Huang et al. [Phys. Rev. Applied 15, 034065 (2021)] have shown that time-dependent…

Floquet theory provides rigorous foundations for the theory of periodically driven quantum systems. In the case of non-periodic driving, however, the situation is not so well understood. Here, we provide a critical review of the theoretical…

Quantum Physics · Physics 2016-11-23 Albert Verdeny , Joaquim Puig , Florian Mintert

We study a generic quantum Markovian master equation for a linearly displaced or driven harmonic oscillator. It was known that the displacement dynamics of Gaussian mixed states depends on the unitary part of the Liouvillian, the decay rate…

Quantum Physics · Physics 2026-05-15 B. A. Tay

We provide an analytic solution to the problem of system-bath dynamics under the effect of high-frequency driving that has applications in a large class of settings, such as driven-dissipative many-body systems. Our method relies on…

We present a generic quantum master equation whose dissipative dynamics autonomously stabilizes a harmonic oscillator in the n=1 Fock state. A multi-mode optomechanical system is analyzed and shown to be an example of a physical system…

Quantum Physics · Physics 2014-08-08 Kjetil Borkje

We consider the differential conductance of a periodically driven system connected to infinite electrodes. We focus on the situation where the dissipation occurs predominantly in these electrodes. Using analytical arguments and a detailed…

Mesoscale and Nanoscale Physics · Physics 2015-10-07 Michel Fruchart , Pierre Delplace , Joseph Weston , Xavier Waintal , David Carpentier

We study a dynamical phase transition in optical bistable systems subject to a time-periodic driving field. The phase transition occurs in the structure of limit cycle as a function of the frequency of the driving field. In the…

Statistical Mechanics · Physics 2020-01-13 Tatsuhiko Shirai , Synge Todo , Seiji Miyashita

Characterizing time-periodic Hamiltonians is pivotal for validating and controlling driven quantum platforms, yet prevailing and unadjusted reconstruction methods demand dense time-domain sampling and heavy post-processing. We introduce a…

Quantum Physics · Physics 2025-09-03 Keren Li

In this article, we investigate periodically driven open quantum systems within the framework of Floquet-Lindblad master equations. Specifically, we discuss Lindblad master equations in the presence of a coherent, time-periodic driving and…

In (1+1)-dimensional quantum field theory, integrability is typically defined as the existence of an infinite number of local charges of different Lorentz spin, which commute with the Hamiltonian. A well known consequence of integrability…

Statistical Mechanics · Physics 2018-09-26 Axel Cortés Cubero
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